https://file.aiquickdraw.com/mathbot/file/1728350806460jb8niyq5.jpg

The problem shown involves a multiplication of a 4-digit number by a 2-digit number, where the digits 1, 2, and 4 are used to complete the calculation. The digits available for use are **1, 2, 2, 4**, and the given structure is:

\[
1 \_ \_ 1 \times 2 \_
\]

James is asked to find calculations where the answer lies between 20,000 and 30,000. The task is to fill the blanks using the available digits to satisfy this condition.

To help you proceed, you would need to try different combinations of the available digits in the structure \(1 \_ \_ 1 \times 2 \_\), calculate the result, and check if the result is between 20,000 and 30,000.

Would you like help trying a few combinations or with a detailed solution approach?

Here are five questions related to this task:
1. How do you identify valid combinations from the available digits?
2. What is the general process for estimating the result of a 4-digit by 2-digit multiplication?
3. How can you use mental math or approximation to check if a result is within the desired range?
4. What techniques are useful for organizing the calculations efficiently?
5. Can you explain why a certain combination might be more likely to yield the correct answer?

**Tip:** Start by trying larger digits in higher place values (hundreds, tens) to quickly get a rough idea of the result.

James is using the following digit cards (1, 2, 2, 4) to complete a multiplication calculation: 1 _ _ 1 × 2 _ . Find combinations that give an answer between 20,000 and 30,000.

Solve a 4-digit by 2-digit multiplication problem using digits 1, 2, 2, 4. Discover combinations that yield answers between 20,000 and 30,000. Suitable for Grade 5-6 students learning multiplication and place value.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation